Question

nine painters can paint a building in 8 days.How many painters are needed to paint the builiding in 6 days

Answer 1

Answer:

7 painters

Step-by-step explanation:

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Answer 2

As per data given in the question,

We have to determine that How many painters are needed to paint the building in 6 days if the same building was [painted by nine painters in 8 days.

As we know that,

In case of work completion,

We have the formula,

$M_1\times D_1 = M_2\times D_2$

As here, same amount of work is done in both the cases.

So, in first case,

$M_1 = 9\\D_1=8$

And in second case,

$M_2 = x\\D_2=6$

Hence, from above formula

$M_1\times D_1 = M_2\times D_2\\=>M_2=\frac{M_1\times D_1 }{D_2}\\=>M_2=\frac{9\times 8}{6} = \frac{72}{6} = 12\:painter$

Hence, 12 painter will be required to paint the same building in 6 days.